Vortex clusters on doubly periodic domains show collective rotation and breathing captured at leading order by a complex quadrupole moment derived from pair interactions via the Schottky-Klein prime function.
On the Hamiltonian dynamics of vortex lattices,
2 Pith papers cite this work. Polarity classification is still indexing.
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physics.flu-dyn 2years
2026 2verdicts
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Dissipative vortex binaries on a torus show outward spiraling for same-sign pairs, geometry-induced angular drift for dipoles, and a finite-time nonlinear chirp with frequency scaling as the square of itself for unequal opposite-sign pairs.
citing papers explorer
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Collective Dynamics of Vortex Clusters in Compact Fluid Domains: From Pair Interactions to a Quadrupole Description
Vortex clusters on doubly periodic domains show collective rotation and breathing captured at leading order by a complex quadrupole moment derived from pair interactions via the Schottky-Klein prime function.
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Dissipative Vortex Binaries in Compact Fluid Domains with Geometric Corrections
Dissipative vortex binaries on a torus show outward spiraling for same-sign pairs, geometry-induced angular drift for dipoles, and a finite-time nonlinear chirp with frequency scaling as the square of itself for unequal opposite-sign pairs.